A counterexample for Kobayashi completeness of balanced domains

Jarnicki, Marek; Pflug, Peter

doi:10.1090/S0002-9939-1991-1069690-1

A counterexample for Kobayashi completeness of balanced domains
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by Marek Jarnicki and Peter Pflug

Proc. Amer. Math. Soc. 112 (1991), 973-978

DOI: https://doi.org/10.1090/S0002-9939-1991-1069690-1

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Abstract:

The aim of this paper is to present an example of a bounded balanced domain of holomorphy in ${\mathbb {C}^n}(n \geq 3)$ with continuous Minkowski function that is not Kobayashi-finitely-compact.

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